1811742464 has 144 divisors (see below), whose sum is σ = 4316928000. Its totient is φ = 758209536.

The previous prime is 1811742421. The next prime is 1811742467. The reversal of 1811742464 is 4642471181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811742467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126757 + ... + 4127195.

Almost surely, 2^1811742464 is an apocalyptic number.

1811742464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1811742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158464000).

1811742464 is an abundant number, since it is smaller than the sum of its proper divisors (2505185536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1811742464 is an frugal number, since it uses more digits than its factorization.

1811742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 1811742464 is about 42564.5681758901. The cubic root of 1811742464 is about 1219.0798544241.

The spelling of 1811742464 in words is "one billion, eight hundred eleven million, seven hundred forty-two thousand, four hundred sixty-four".